Section 11.8 GEOMETRIC PROBABILITY. General Probability.

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Presentation transcript:

Section 11.8 GEOMETRIC PROBABILITY

General Probability

SAT Geometric Probability Suppose a point P is randomly drawn on the line segment. What is the probability that P is on ? There are 5 total “parts” CF is 3 “parts”

2)At a carnival game, dishes are positioned on a table so that they do not overlap. You win a prize if you throw a nickel that lands in a dish. If the area of the table is 1.5 m 2 and the combined area of the dishes is 1 m 2, what is the probability that the nickel will not land in the dish?

3)A DART bus pulls up in front of Sallies every 20 minutes. The length of time each bus waits is 3 minutes. If a student walks out at any random time, what is the probability he will be able to board the bus as soon as he arrives? Hint: Set up a time line BUS One total cycle p(boarding) = 3/20

A DART bus pulls up in front of Sallies every 20 minutes. The length of time each bus waits is 3 minutes. 4) If a student goes out and there is no bus, what is the probability that his wait time will not exceed 10 minutes? BUS One total cycle p(wait < 10) = 10/17 10

SAT Probability A large box contains exactly 24 bowling balls. All of the balls are either black, yellow, blue, or red. The probability of selecting a red ball at random from the box is ¼, and the probability of selecting a black ball is 1/6. What is the sum of the yellow and blue bowling balls in the box? A) 8 B) 12 C) 14 D) 16 E)

Counting Rule MULTIPLY

LICENSE PLATES In Delaware, license plates have seven characters. How many possibilities are there total? –What if you could only use numbers? –What if you can’t repeat letters? –What if you do not have any restrictions at all? 10·10·10·10·10·10·10= 10,000,000 26·25·24·23·22·21·20= 3,315,312,000 36·36·36·36·36·36·36= E 10

Intersections 1)There are 9 students in Math class and there are 5 students in French class. If 3 students take both Math and French, what is the total number of students taking one of the classes? Use a Venn Diagram MATH FRENCH 3 9–3 = 6 5–3 = 2

Intersections 2) In a group of 200 high school juniors and seniors, 70 are boys, 50 are senior boys and 80 are seniors. How many girls are juniors? Create a Chart MALESFEMALES JUNIORS SENIORS

Practice Page #1 – 5, 7, 8, 11

Ch 11 Test Geometric Probability

SAT Formulas